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Finding the Third Proportional to 273,634.13 and 587,727.38

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Solution

The third proportional to 273,634.13 and 587,727.38 is: 1,262,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,634.13 : 587,727.38 = 587,727.38 : x
  2. Step 2: Convert to fraction form
    273,634.13/587,727.38 = 587,727.38/x
  3. Step 3: Cross multiply
    273,634.13x = 587,727.38 × 587,727.38
  4. Step 4: Simplify right side
    273,634.13x = 345,423,467,324.39
  5. Step 5: Solve for x
    x = 345,423,467,324.39/273,634.13
  6. Step 6: Final answer
    x = 1,262,355.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.